The Stability of Some Differential Equations

الملخص EN

We generalize the results obtained by Jun and Min (2009) and use fixed point method to obtain the stability of the functional equation f(x+σ(y))=F[f(x),f(y)], for a class of functions of a vector space into a Banach space where σ is an involution.

Then we obtain the stability of the differential equations of the form y′=F[q(x),P(x)y(x)].